Splitting Methods for Linear Coupled Field-Circuit DAEs

The application of operator splitting methods to ordinary differential equations (ODEs) is well established. However, for differential-algebraic equations (DAEs) it is subjected to many restrictions due to the presence of (possibly hidden) constraints. In order to get convergence of the operator splitting for DAEs, it is important to have and exploit a suitable decoupled structure for the desired DAE system. Here we present a coupled field-circuit modeling via a loop-cutset analysis and the choice of a suitable tree that results in a port-Hamiltonian DAE system. Finally, we introduce an operator splitting approach of such linear coupled field-circuit DAEs and present convergence results for the proposed approach.